 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 páginas
...diagonal does not pass, they form two pairs of equal triangles. (14.) 1 -2. Show that the straight line which joins the middle points of two sides of a triangle divides the triangle into parts of which one is three times as large as the other. n 4 \ Section 3... | |
 | Euclides - 1883 - 176 páginas
...L. ACD and L. ACB. QED 99. The diagonals of a parallelogram bisect each other. 100. The line joining the middle points of two sides of a triangle is parallel to the base, and equal to half the base of the triangle. 101. The lines joining the middle points of the adjacent... | |
 | Mathematical association - 1883 - 86 páginas
...parallel to the base passes through the middle point of the other side. COR. 3. The straight line joining the middle points of two sides of a triangle is parallel to the base. [Cor. 2. and Rule of Identity.] SECTION 4. PROBLEMS. PROB. 1. To bisect a given angle. PROB.... | |
 | 1902 - 730 páginas
...as stated are parallel to and equal to one-half of each diagonal, because the join of the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. Also, the parallelogram equals one-half of the original quadrilateral ; —... | |
 | Evan Wilhelm Evans - 1884 - 170 páginas
...perpendicular BD equal to the side of the given square. Complete. See Prob. IX. 13. A line joining the middle points of two sides of a triangle is parallel to the third, and equal to the half of it. 14. Bisect the sides of a quadrilateral, join the points of bisection,... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 páginas
...parallel to the base passes through the middle point of the other side. COR. 3. The straight line joining the middle points of two sides of a triangle is parallel to the base. Ex. 58. The straight lines joining the middle points of the sides of a triangle divide it into... | |
 | 1884 - 708 páginas
...equal bases and between the same parallels, are equal to one another. Prop. 38, Bk. I. 3. The straight line which joins the middle points of two sides of a triangle is equal to half the base. Let the sides AB, AC of the triangle ABC be bisected respectively in D and... | |
 | Euclides - 1884 - 434 páginas
...either within or without the circle ; prove AS AEB, CED similar, and also As A ED, BEC. 6. The straight line which joins the middle points of two sides of a triangle is half of the third side. 7. A straight line which is || one of the sides of a triangle and = half of... | |
 | Mathematical association - 1884 - 146 páginas
...parallel to the base passes through the middle point of the other side. COR. 3. The straight line joining the middle points of two sides of a triangle is parallel to the base. Ex. 58. The straight lines joining the middle points of the sides of a triangle divide it into... | |
 | Euclides - 1884 - 214 páginas
...extremities of the base of a triangle to meet the opposite sides can bisect each other. (213) The straight line which joins the middle points of two sides of a triangle, (a) is parallel to the third side, (6) is half of the third side, (c) divides the triangle into two... | |
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The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES. 
